61734376463808 has 224 divisors, whose sum is σ = 168591590866944. Its totient is φ = 19922015674368.

The previous prime is 61734376463777. The next prime is 61734376463831. The reversal of 61734376463808 is 80836467343716.

It is a super-2 number, since 2×61734376463808² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3496302916 + ... + 3496320572.

It is an arithmetic number, because the mean of its divisors is an integer number (752641030656).

Almost surely, 2^{61734376463808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61734376463808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84295795433472).

61734376463808 is an abundant number, since it is smaller than the sum of its proper divisors (106857214403136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61734376463808 is a wasteful number, since it uses less digits than its factorization.

61734376463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 66.

The spelling of 61734376463808 in words is "sixty-one trillion, seven hundred thirty-four billion, three hundred seventy-six million, four hundred sixty-three thousand, eight hundred eight".